The RBniCS Project contains an implementation in FEniCS of several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for parametrized problems. It is ideally suited for an introductory course on reduced basis methods and reduced order modelling, thanks to an object-oriented approach and an intuitive and versatile python interface. To this end, it has been employed in several doctoral courses on ”Reduced Basis Methods for Computational Mechanics”. RBniCS can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing FEniCS-based software, thanks to the availability of several reduced order methods (such as reduced basis and proper orthogonal decomposition) and algorithms (such as successive constraint method, empirical interpolation method) in the library.

References in zbMATH (referenced in 12 articles )

Showing results 1 to 12 of 12.
Sorted by year (citations)

  1. Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi: Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations (2020)
  2. Degen, Denise; Veroy, Karen; Wellmann, Florian: Certified reduced basis method in geosciences. Addressing the challenge of high-dimensional problems (2020)
  3. Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi: POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation (2020)
  4. Gunzburger, Max; Schneier, Michael; Webster, Clayton; Zhang, Guannan: An improved discrete least-squares/reduced-basis method for parameterized elliptic PDEs (2019)
  5. Pichi, Federico; Rozza, Gianluigi: Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations (2019)
  6. Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi: A reduced order variational multiscale approach for turbulent flows (2019)
  7. Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi: A weighted POD method for elliptic PDEs with random inputs (2019)
  8. Huynh, Dinh Bao Phuong; Pichi, Federico; Rozza, Gianluigi: Reduced basis approximation and a posteriori error estimation: applications to elasticity problems in several parametric settings (2018)
  9. Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi: Model reduction for parametrized optimal control problems in environmental marine sciences and engineering (2018)
  10. Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi: Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs (2018)
  11. Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon: Reduced-order semi-implicit schemes for fluid-structure interaction problems (2017)
  12. Milk, René; Rave, Stephan; Schindler, Felix: PyMOR -- generic algorithms and interfaces for model order reduction (2016)

Further publications can be found at: https://www.rbnicsproject.org/publications.html